GED Mathematical Reasoning Algebra and Functions 3

Question 1

Which of the following is the slope of the line passing through (2, 5) and (6, 13)?

Accepted Answer

2

Answer

Slope = (13 - 5) / (6 - 2) = 8 / 4 = 2.

Question 2

If f(x) = 3x² - 2x + 1, what is f(-1)?

Accepted Answer

6

Answer

f(-1) = 3(1) - 2(-1) + 1 = 3 + 2 + 1 = 6.

Question 3

What is the solution to the inequality 4x - 3 > 9?

Accepted Answer

x > 3

Answer

4x > 12, so x > 3.

Question 4

A linear function passes through (0, -4) and has a slope of 3. What is the equation?

Accepted Answer

y = 3x - 4

Answer

Using slope-intercept form y = mx + b with m = 3 and b = -4 gives y = 3x - 4.

Question 5

Which expression is equivalent to (2x³)(4x²)?

Accepted Answer

8x⁵

Answer

Multiply coefficients 2 × 4 = 8 and add exponents 3 + 2 = 5, giving 8x⁵.

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